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Finding the Third Proportional to 58,240 and 136,896

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Solution

The third proportional to 58,240 and 136,896 is: 321,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,240 : 136,896 = 136,896 : x
  2. Step 2: Convert to fraction form
    58,240/136,896 = 136,896/x
  3. Step 3: Cross multiply
    58,240x = 136,896 × 136,896
  4. Step 4: Simplify right side
    58,240x = 18,740,514,816
  5. Step 5: Solve for x
    x = 18,740,514,816/58,240
  6. Step 6: Final answer
    x = 321,780.82

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.